11. a). the gene that codes for the abo blood group in humans has three alleles. in a population of 1000 people, the frequency of the i a allele is 0.2, and the frequency of individuals in the population with type o blood is 0.49. what is the frequency of the i b allele in this population? show your work.
b). in the same population as above, what is the frequency of people with type a blood? show your work.

A) The answer is 0.1.

The frequency of IA allele is 0.2:
IA = 0.2

The frequency of O individuals is 0.49:
ii = 0.49
Since there is only one possible genotype for O individuals - ii - the frequency of i is square root of the frequency of O individuals:
i = √ii
⇒ i = √0.49
⇒ i = 0.7

Now, we have the frequencies of two alleles (IA and i). To calculate the frequency of IB allele, we will use the formula:
IA + i + IB = 1
⇒ IB = 1 - IA - i
⇒ IB = 1 - 0.2 - 0.7
⇒ IB = 0.1

So, the frequency of IB allele is 0.1.

b) The answer is 0.32. 

There are two possible genotypes for A individuals -  and .

Frequency of  is:
= AI² = 0.2² = 0.04

Frequency of  is:
= 2 x AI x i = 2 x 0.2 x 0.7 = 0.28

Frequency of people with type A blood is the sum of these two frequencies:
A = 0.04 + 0.28 = 0.32

The number of people with type A blood would be:
0.32 x 1000 people = 320 people